Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves

1989 ◽  
Vol 27 (1) ◽  
pp. 82-88 ◽  
Author(s):  
S. Tsangaris ◽  
D. Drikakis
Keyword(s):  
Blood Flow ◽  
Linear Approximation ◽  
Elastic Tube ◽  
Pressure Waves ◽  
Anisotropic Elastic

Hypergravity and Multiple Reflections in Wave Propagation in the Aorta

2012 ◽  
Vol 135 (1) ◽  
Author(s):  
J. M. B. Kroot ◽  
C. G. Giannopapa
Keyword(s):  
Blood Flow ◽  
Wave Propagation ◽  
Cerebral Blood Flow ◽  
Total Pressure ◽  
Loss Of Consciousness ◽  
Pressure Waves ◽  
Multiple Reflections ◽  
One Dimensional ◽  
Gravity Changes ◽  
Pressure Part

Hypergravity and gravity changes encountered in, e.g., airplanes, rollercoasters, and spaceflight can result in headaches or loss of consciousness due to decreased cerebral blood flow. This paper describes the effect of hypergravity and gravity changes on the pressure in the aorta and the distension of its wall. The model presented consists of a pressure part caused by gravity and a part representing pressure waves propagating through the vessel. The total pressure is described by a one-dimensional formulation in the frequency domain. To accommodate for geometrical and material variations, the vessel is modeled as a series of sections in which multiple reflections can occur. Results are presented for constant and varying gravity in straight and tapered flexible vessels.

MATHEMATICAL STUDY OF BLOOD FLOW IN AN ELASTIC TUBE WITH WALL DEFORMATION

2015 ◽  
Vol 92 (2) ◽  
pp. 81-93
Author(s):  
Rashid Ali ◽  
Monika Gupta ◽  
M. P. Singh ◽  
V. K. Katiyar
Keyword(s):  
Blood Flow ◽  
Elastic Tube ◽  
Mathematical Study ◽  
Wall Deformation

Analytical Modeling of a Descending Aorta Containing Human Blood Flow

2018 ◽  
Vol 384 ◽  
pp. 117-129 ◽  
Author(s):  
Mehdari Abdessamad ◽  
Mohamed Hasnaoui ◽  
Mohamed Agouzoul
Keyword(s):  
Blood Flow ◽  
Thin Shell ◽  
Analytical Modeling ◽  
Flow Behavior ◽  
Geodesic Curvature ◽  
Elastic Tube ◽  
Axisymmetric Vibration ◽  
Curvature Parameter ◽  
Flow Through ◽  
The Mathematical Model

In the recent years, blood flow through an aorta has been the main focus of many investigators. It shows particular interest in analyzing human aortic stiffness and blood flow behavior. Mainly, an unsteady state is applied for incompressible fluid, which is assumed to be newtonian. Artery is considered an elastic tube and the wall boundaries are isotropic. The analytical modeling of blood involves adopting an asymptotic approach according to a small aspect radio,which is inversely proportionalto Reynolds number. The wall has been assumed a thin shell, which generates a small axisymmetric vibration. The mathematical model of the wall is developed using the thin shell theory based on geodesic curvature parameter. In the end, the analytical results simulation is applied to have better understanding of the effects of blood flow behavior over the elasticity aortic wall properties.

Hyper-Gravity and Multiple Reflections in Wave Propagation in the Aorta

2010 ◽  
Author(s):  
J. M. B. Kroot ◽  
C. G. Giannopapa
Keyword(s):  
Blood Flow ◽  
Wave Propagation ◽  
Cerebral Blood Flow ◽  
Total Pressure ◽  
Loss Of Consciousness ◽  
Pressure Waves ◽  
Multiple Reflections ◽  
One Dimensional ◽  
Gravity Changes ◽  
Pressure Part

Hypergravity and gravity changes encountered in e.g. airplanes, rollercoasters and spaceflight can result in headaches or loss of consciousness due to decreased cerebral blood flow. This paper describes the effect of hypergravity and gravity changes on the pressure in the aorta and the distension of its wall. The model presented consists of a pressure part caused by gravity and a part representing pressure waves propagating through the vessel. The total pressure is described by a one-dimensional formulation in the frequency domain. To accommodate for geometrical and material variations, the vessel is modeled as a series of sections in which multiple reflections can occur. Results are presented for constant and varying gravity in straight and tapered flexible vessels.

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